The Kumaraswamy distribution is a statistical distribution in two variables that is bounded at one and zero. It is flexible and can be used to model a variety of shapes, and its density and cumulative distributions can be written in very simple terms. It is very similar to the beta distribution, but simpler and in some situations more tractable.

The probability distribution function for the Kumaraswamy distribution is:

In this equation *a* and *b* are non-negative shape parameters.

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